Finding the Third Proportional to 31,732.25 and 69,692.75

Step by Step Solution

1. Step 1: Write the proportion equation
   31,732.25 : 69,692.75 = 69,692.75 : x
2. Step 2: Convert to fraction form
   31,732.25/69,692.75 = 69,692.75/x
3. Step 3: Cross multiply
   31,732.25x = 69,692.75 × 69,692.75
4. Step 4: Simplify right side
   31,732.25x = 4,857,079,402.56
5. Step 5: Solve for x
   x = 4,857,079,402.56/31,732.25
6. Step 6: Final answer
   x = 153,064.45